Abstract
The present paper deals with constitutive modelling of materials whose behaviour is governed by the nucleation and growth of microcracks. The modelling is based on composite material theory and continuum damage mechanics. The theoretical predictions for fibre reinforced cementitious materials are discused and compared with experimental findings.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Z.P. Bažant. Mechanics of distributed cracking. Appl. Mech. Rev., 39, 675–705, (1986).
S. Ziegeldorf. Phenomenological aspects of the fracture of concrete. In Fracture Mechanics of Concrete, ed. F.H. Wittmann. Elsevier Science Publishers, Amsterdam. Pp. 31–41, (1983).
L.J. Walpole. Elastic behavior of composite materials: Theoretical foundations. Adv. Appl. Mech., 21, 169–242, (1981).
Z. Hashin. Analysis of Composite Materials — A Survey. J. Appl. Mech., 50, 481–505, (1983).
N. Laws, G.J. Dvorak, and M. Hejazi. Stiffness changes in unidirectional composites caused by crack systems. Mech. of Mater., 2, 123–137, (1983).
V.M. Levin. Determination of effective elastic moduli of composite materials. Dokl. Akad. Nauk. SSSR, 220, 1042–1045, (1975). (Sov. Phys. Dokl., 20, 147–148, (1975)).
J.D. Eshelby. The determination of the elastic field of an ellipsoidal inclusion and related problems. Pro. R. Soc. Lond, A. 241, 376–396, (1957).
N. Laws. A note on interaction energies associated with cracks in anisotropic media. Phil. Mag., 36, 367–372, (1977).
N. Laws. The determination of stress and strain concentrations at an ellipsoidal inclusion in an anisotropic material. J. Elasticity, 1, 91–97, (1977).
N. Laws and R. McLaughlin. Self-consistent estimates for the viscoelastic creep compliances of composite materials. Proc. R. Soc. Lond. A. 359, 251–273, (1978).
H. Stang. Strength of composite materials with small cracks in the matrix. Int. J. Solids Structures, 22, 1259–1277, (1986).
H. Stang. A Double inclusion model for microcrack arrest in fibre reinforced brittle materials. J. Mech. Phys. Solids, 35, 325–342, (1987).
D. Krajcinovic. Continuous damage mechanics revisited: Basic concepts and definitions. J. Appl. Mech., 52, 829–834, (1985).
J.J. Marigo. Modelling of brittle and fatigue damage for elastic material by growth of microvoids. Eng. Frac. Mech., 21, 861–875, (1985).
H. Krenchel and S.P. Shah. Synthetic fibres for tough and durable concrete. In Developments in fibre reinforced cement and concrete, Rilem Symposium, FRC 86, Vol. 1, (1986).
A.G. Evans and R.M. Cannon. Toughening of brittle solids by martensitic transformations. Acta Metall., 34, 761–800, (1986).
H. Horii and S. Nemat-Nasser. Overall moduli of solids with microcracks: load-induced anisotropy. J. Mech. Phys. Solids, 31, 155–171, (1983).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag New York Inc.
About this paper
Cite this paper
Stang, H. (1989). Mathematical Modelling of Damage Evolution in Concrete and FRC-Materials. In: Shah, S.P., Swartz, S.E. (eds) Fracture of Concrete and Rock. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3578-1_16
Download citation
DOI: https://doi.org/10.1007/978-1-4612-3578-1_16
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96880-3
Online ISBN: 978-1-4612-3578-1
eBook Packages: Springer Book Archive